Worked cases

Worked case: Batch reactor charging interlock (high demand, PFH)

An interlock that acts on every batch is a high demand function, so it is verified with PFH instead of PFDavg. Two position switches, safety PLC, two charging valves.

2 min read · First Out AI knowledge library

The function

Prevents opening of the solids charging valve while the reactor is above atmospheric pressure, which would blow hot material out of the charging chute onto the operator.

Safe state: Charging valves held closed.

Process safety time: Immediate: the hazard exists as soon as the valve opens. Required response: Interlock acts before the valve can move. Setpoint: Reactor pressure above 0.05 bar g OR vent valve not proven open.

Inputs (illustrative values)

GroupVotingλDU /hλDD /hλSU /hβT1PTCPartial strokeTypeSC
Vent valve open switches ZSO-1601A/B1oo22e-73e-72e-710 %1 yr95 %–BSC 3
Safety PLC1oo15e-91e-600 %10 yr99 %–BSC 3
Charging valves XV-1601/16021oo28e-701e-610 %1 yr90 %–ASC 3

Mission time 20 years, high demand (PFH). Failure rates are illustrative values written for First Out AI, not taken from any certificate or database.

Result (First Out AI engine v0.3.0)

MeasureValue
PFH1.3 × 10⁻⁷ per hour
SIL by probability2
SIL by IEC 61511 fault tolerance3
Systematic capabilitySC 3
Achieved SIL2 (meets SIL 2)
Required PFDavg–
Mean time to spurious trip16.7 years
GroupVotingPFDavgShareHFT / requiredSFF
Vent valve open switches ZSO-1601A/B1oo21.7 × 10⁻⁴11 %1 / 171 %
Safety PLC1oo12.3 × 10⁻⁴15 %1 / 1100 %
Charging valves XV-1601/16021oo21.1 × 10⁻³73 %1 / 156 %

Engineer's reading

  • Charging valves XV-1601/1602 carries 73 % of the PFDavg, so improvements there matter most.
  • Demands come with every batch, so the function is verified in high demand mode with PFH; the proof test interval no longer drives the result.

Open this example in First Out AI: SIL verification → Examples → "Batch reactor charging interlock (high demand, PFH)".

Written for First Out AI as engineering guidance. It supports engineering work and does not replace it; check every value against your standards, certificates and company rules with a competent functional safety engineer.